(b) True or False?
Statement
True False
Х
Some rational numbers are not whole numbers.
o
Some irrational numbers are integers.
All integers are rational numbers.
o
No irrational numbers are whole numbers.
o

Answer:

Let speed of slower car be xkm/h

Therefore rate of other car=x+20 km/h

After 4 hrs ,

Distance covered by Car A=4x

Distance covered by Car B=4x+80

4x+4x+80=760km

8x=680

x=45

The rate of the slower car=45km/h

[tex]\\ \rm\longmapsto x-5=41[/tex]

[tex]\\ \rm\longmapsto x=41+5[/tex]

[tex]\\ \rm\longmapsto x=46[/tex]

Hence

[tex]\\ \rm\longmapsto 45<x<47[/tex]

Law of Exponent

[tex] \displaystyle \large{( \frac{a}{b} )^{n} = \frac{ {a}^{n} }{ {b}^{n} } }[/tex]

From the expression.

[tex] \displaystyle \large{( \frac{2}{3} )^{2} = \frac{ {2}^{2} }{ {3}^{2} } = \boxed{\frac{4}{9} } }[/tex]

Jerome's mistake is that Jerome forgot to evaluate 2^2 or forgot to add 2^2. The denominator is correct but the numerator is wrong.

Answer:

option(B)

Step-by-step explanation:

1 + 1 × 2

using BODMAS, Multiplication comes first then Addition

=> 1 + (1 × 2)

=> 1 + 2

=> 3

Answer:

if the question is what is f(x) -1 ( f(x) )

then the answer is;

=10x-5 -1[10(3)-5]

=10x-5 -1(30-5)

=10x-5-1(25)

=10x-5-25

=10x-30

Answer:

125

Step-by-step explanation:

If you mean a 20 inch cube box then the answer is 125. Since 4 inch cubes have dimensions 4x4x4 and 20 inch cubes have dimensions 20x20x20. Then we can find the answer by dividing 20x20x20 by 4x4x4 which is equal to 5x5x5 as 20/4 = 5. Therefore the answer is 5x5x5 which is 125.

Answer:

(a).

[tex] \frac{2}{5a} = \frac{4}{a - 1} \\ \\ 20a = 2a - 2 \\ 18a =- 2 \\ a = - \frac{1}{9} [/tex]

(b).

[tex] \frac{7}{2d - 5} = \frac{9}{3d + 4} \\ \\ 7(3d + 4) = 9(2d - 5) \\ 21d + 28 = 18d - 45 \\ 3d = - 73 \\ d = - \frac{73}{3} [/tex]

(c).

[tex] \frac{3}{e + 1} + \frac{1}{2e + 1} = 0 \\ 3(2e + 1) = - (e + 1) \\ 6e + 3 = -(e + 1) \\ 7e = - 4 \\ e = - \frac{4}{7} [/tex]

(d).

[tex] \frac{5}{2f - 5} - \frac{4}{7f + 1} = 0 \\ \\ \frac{5}{2f - 5} = \frac{4}{7f + 1} \\ \\ 5(7f + 1) = 4(2f - 5) \\ 35f + 5 = 8f - 20 \\ 27f = - 25 \\ f = - \frac{25}{27} [/tex]

(d).

Step-by-step explanation:

a)2/5a=4/a-1

By cross multiplication:

5a×4=2(a-1)

20a=2a-2

20a-2a=-2

18a=-2

a=-2/18

a=-1/9

b)7/2d-5=9/3d+4

By cross multiplication:

7(3d+4)=9(2d-5)

21d+28=18d-45

21d-18d=-45-28

3d=-73

d=-73/3

c)3/e+1 + 1/2e+1=0

3/e+1=-1/2e+1

By cross multiplication

3(2e+1)=-1(e+1)

6e+3=-e-1

6e+e=-1-3

7e=-4

e=-4/7

d)5/2f-5-4/7f+1=0

By cross multiplication

5/2f-5=4/7f+1

5(7f+1)=4(2f-5)

35f+5=8f-20

35f-8f=-20-5

27f=-25

f=-25/27

Answer:

It equals 2900 decigrams

Step-by-step explanation:

29 dekagrams = 290 grams

290 grams = 2900 decigrams

Therefore, 29 dekagrams = 2900 decigrams

The equivalent weight in grams for a given weight in dekagrams is approximately 10 times the weight in dekagrams.

To find the equivalent weight in grams for a given weight in dekagrams, you can use the conversion factor that 1 dekagram (dag) is equal to 10 grams.

Given the information that 29 dekagrams equals 290 grams, you can set up a proportion:

[tex]\(\frac{29 \text{ dag}}{290 \text{ g}} = \frac{1 \text{ dag}}{x \text{ g}}\)[/tex]

Cross-multiplying:

[tex]\(29x = 290 \times 1\)[/tex]

Solving for x:

[tex]\(x = \frac{290}{29}\)\\\\\(x \approx 10\)[/tex]

Therefore, the equivalent weight in grams for a given weight in dekagrams is approximately 10 times the given weight in dekagrams.

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Complete Question:

If 29 dekagrams equals 290 grams, what is the equivalent weight in grams for a given weight in dekagrams?

Answer:

t(5x + 4)

Step-by-step explanation:

im not entirely sure if this is correct

Answer:

t×(5x+4)

Step-by-step explanation:

factor out t from the expression

Answer:

5

Step-by-step explanation:

This trick works with 3:

If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.

44 is not divisble by 3 because 4+4=8 is not divisble by 3.

45 is divisble by 3 because 4+5=9 is divisble by 3.

46 is not divisble by 3 because 4+6=10 is not divisble by 3.

47 is not divisble by 3 because 4+7=11 is not divisble by 3.

54 is divisble by 3 because 5+4=9 is divisble by 3.

55 is not divisble by 3 because 5+5=10 is not divisble by 3.

56 is not divisble by 3 because 5+6=11 is not divisble by 3.

57 is divisble by 3 because 5+7=12 is divisble by 3.

64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.

Finally 7...

74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.

The victors are

45

54

57

66

75

Answer: [tex]\boxed {12.69 inches}[/tex]

Step-by-step explanation:

Given information

Red pencil = 4.32 inches

Blue pencil = 6.1 inches

Green pencil = 2.27 inches

Expression deducted from the question

Total length = Red pencil + Blue pencil + Green pencil

Substitute values into the expression

Total length = (4.32) + (6.1) + (2.27)

Simplify by addition

Total length = 10.42 + 2.27

Total length = 12.69 inches

Hope this helps!! :)

Please let me know if you have any questions

The sum of the length of the pencils is 12.69 inches

To Obtain the sum of the length of the pencils, we use the addition operator on the given lengths :

The sum of the lengths of the pencils :

(4.32 + 6.1 + 2.27) inches = 12.69 inches

Therefore. The total sum of the lengths of the pencils is 12.69 inches

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Answer:

Terms for 4a^2-5a-3: 4a^2, -5a, -3

Terms for Equation 2 is correct.

Constants for 4a^2-5a-3: -3

Constants for Equation 2 is correct.

Coefficients for 4a^2-5a-3: 4, -5

Coefficients for Equation 2: 7, -3

Step-by-step explanation:

Answer:

a = -9

Step-by-step explanation:

8a=4(a-9)

Divide each side by 4

8a/4=4(a-9)/4

2a = a-9

Subtract a from each side

2a-a = a-9-a

a = -9

Answer:

-9

Step-by-step explanation:

8a = 4(a-9)

Use the distributive property (Multiply 4 times a, and 4 times -9)

8a = 4a - 36

Bring the 4a to the other side

8a - 4a = -36

Add like terms

4a = -36

Divide both sides by 4 to get a by itself

a = -9

Answer:

91,25

Step-by-step explanation:

the step by step is on the picture! :)

Answer:

hundredth:0.3800

thousand:0.4000

tenth:0.3780

Answer:

Bạn An có 23 quả táo

Step-by-step explanation:

Vì AN lấy đi 23 quả táo nên số táo vẫn bằng như thế

Answer:

Step-by-step explanation:

2x+1=x-4

2x-x= -4-1

1x=-5

Answer:

y = 39

Step-by-step explanation:

550 x [tex]\pi[/tex] = [tex]\pi[/tex] [tex]r^{2}[/tex] x 11 + y

550 x [tex]\frac{7}{22}[/tex] = [tex]\frac{7}{22}[/tex] x 11 x 11 + y

550 x [tex]\frac{7}{22}[/tex] x [tex]\frac{22}{7}[/tex] = 11 x 11 + y

550 = 11 x 11 + y

[tex]\frac{550}{11}[/tex] = [tex]\frac{11}{11}[/tex] x 11 + y

50 = 11 + y

50 - 11 = y

39 = y

Answer:

25 - (6 x y) + (3 x y) = -56, y = 3.44

Step-by-step explanation:

-56 + 25 = 31, 6y + 3y = 9y, 31 = 9y, 31 / 9 = 3.44

it's a repeating number so uh yeah

y = 3.44

Answer:

3.52 is the unit price

Step-by-step explanation:

The only thing that you need to do do for know the answer is to divide 24.64 by 7

Answer:

The answer would be A

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

Answer is Triangle P'R'Q' is larger, explain how you know is steps

Step-by-step explanation:

So a Dilation is the expansion or shrinkage of an object. Because this is being dilated by 1.5 it is growing by 1.5

So triangle PRQ is the smaller version of P'R'Q' because

Line PR  = 3.1

Line RQ = 3.9

Line QP = 5

Multiplying these by 1.5 you get

Line P'R' = 4.65

Line R'Q'= 5.85

Line Q'P' = 7.5

Answer:

767

Step-by-step explanation:

Answer:

Step-by-step explanation:

focus distance=9

a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77

[tex]\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}\\[/tex]

Equation of hyperbola is  [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].

Hyperbola is defined as an open curve having two branches which are mirror images to each other.

A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.

Given

Foci: (-9, 0) and (9, 0)

Foci: (±9, 0)

Vertices: (-2,0) and (2,0)

Vertices: (±2, 0)

So, a = ±2, c = ±9

Now [tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]b^{2} =c^{2} -a^{2}[/tex]

[tex]b^{2} =9^{2} -2^{2}[/tex]

[tex]b^{2} =81-4[/tex]

[tex]b^{2} =77[/tex]

Equation of hyperbola is

[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex]

Hence, equation of hyperbola is  [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].

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